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Raymond Arthur Lyttleton (1911-95) was a British astronomer who won the Royal Society Royal Medal in 1965 for significant contributions to his field. In this book, which was first published in 1953, Lyttleton presents an account of advances in relation to a classical problem of mathematical astronomy. The text is mainly concerned with those parts of the theory most directly involved in determining the evolution of gravitating liquid masses. The important conclusion is reached that the dynamical evidence is against the so-called 'fission process' of binary system formation. This book will be of value to anyone with an interest in astronomy and the history of science.

Rotating masses of fluid. --- Stability.

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A systematic account of the theory and modelling of rotating fluids that highlights the remarkable advances in the area and brings researchers and postgraduate students in atmospheres, oceanography, geophysics, astrophysics and engineering to the frontiers of research. Sufficient mathematical and numerical detail is provided in a variety of geometries such that the analysis and results can be readily reproduced, and many numerical tables are included to enable readers to compare or benchmark their own calculations. Traditionally, there are two disjointed topics in rotating fluids: convective fluid motion driven by buoyancy, discussed by Chandrasekhar (1961), and inertial waves and precession-driven flow, described by Greenspan (1968). Now, for the first time in book form, a unified theory is presented for three topics - thermal convection, inertial waves and precession-driven flow - to demonstrate that these seemingly complicated, and previously disconnected, problems become mathematically simple in the framework of an asymptotic approach that incorporates the essential characteristics of rotating fluids.

Rotating masses of fluid. --- Fluid mechanics. --- Fluid dynamics.

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This textbook on rotating fluid dynamics combines a pedagogical development of theoretical ideas with a description and analysis of many of the fascinating examples of rotating flows found in nature. The book is self-contained, starting in Part I with introductory chapters on fluid dynamics and waves. The largest section of the book is Part II, where a broad theoretical framework is developed for rotating flows, including Ekman layers, inertial waves, Taylor columns, Rossby waves, precession, instabilities, rotating convection, vortex breakdown, and rotating turbulence. The book ends, in Part III, with an analysis of some naturally occurring rotating flows, including tornadoes and dust devils, tidal vortices, tropical cyclones, convection in planetary cores, zonal winds in planetary atmospheres, and astrophysical accretion discs. Davidson presents a unique combination of a deep but broad theoretical framework with a detailed discussion of many naturally occurring flows. Moreover, the book places great emphasis on the pedagogical development of theoretical ideas and the physical insight that brings.

Rotating masses of fluid. --- Vortex-motion. --- Fluid dynamics. --- Fluid mechanics. --- Hydrodynamics. --- Mécanique des fluides. --- Tourbillons (mécanique des fluides) --- Dynamique des fluides. --- Hydrodynamique.

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This book treats the classical problem of gravitational physics within Einstein's theory of general relativity. It presents basic principles and equations needed to describe rotating fluid bodies, as well as black holes in equilibrium. It then goes on to deal with a number of analytically tractable limiting cases, placing particular emphasis on the rigidly rotating disc of dust. The book concludes by considering the general case using powerful numerical methods that are applied to various models, including the classical example of equilibrium figures of constant density. Researchers in general relativity, mathematical physics, and astrophysics will find this a valuable reference book on the topic. A related website containing codes for calculating various figures of equilibrium is available at www.cambridge.org/9781107407350.

Astrophysics. --- Equilibrium. --- Relativity (Physics). --- Rotating masses of fluid. --- Relativity (Physics) --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Balance --- Balance (Physics) --- Balancing (Physics) --- Stability --- Statics --- Fluids --- Hydrodynamics --- Hydrostatics --- Rotational motion --- Attractions of ellipsoids

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Geology. Earth sciences --- Fluid dynamics --- Ocean-atmosphere interaction --- Rotating masses of fluid --- Fluides, Dynamique des --- Interaction mer-atmosphère --- Masses de fluide rotatives --- Periodicals --- Périodiques --- Interaction mer-atmosphère --- Périodiques. --- Chemistry --- Earth Sciences --- Environmental Sciences --- Environmental Chemistry --- Marine Geology and Oceanography --- Atmospheric Science --- Périodiques --- EJPHYSI EJTERRE ELSEVIER-E EPUB-ALPHA-D EPUB-PER-FT --- Periodicals.